61506431316 has 72 divisors (see below), whose sum is σ = 169794206400. Its totient is φ = 18617921280.

The previous prime is 61506431243. The next prime is 61506431317. The reversal of 61506431316 is 61313460516.

61506431316 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 643 + 1 + 3 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61506431317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279420 + ... + 448428.

Almost surely, 2^61506431316 is an apocalyptic number.

61506431316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61506431316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84897103200).

61506431316 is an abundant number, since it is smaller than the sum of its proper divisors (108287775084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61506431316 is a wasteful number, since it uses less digits than its factorization.

61506431316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169949 (or 169944 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61506431316 in words is "sixty-one billion, five hundred six million, four hundred thirty-one thousand, three hundred sixteen".